Question

1) A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of​ 55, 66 dream in black and​ white, and among 281people under the age of​ 25,15 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below.

2) A simple random sample of​ front-seat occupants involved in car crashes is obtained. Among 2728 occupants not wearing seat​ belts, 31 were killed. Among 7791occupants wearing seat​ belts, 17 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts​ (a) through​ (c) below.

3)Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1408 referee​ calls, with the result that 430 of the calls were overturned. Women challenged 767 referee​ calls, and 228 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts​ (a) through​ (c) below.

Answer 1

1)